Electric Fields

Concept Quizzes

Challenge Quizzes

Electrostatics

As shown in the above figure, the point charges \( q_A = 4 \text{ C} \) and \( q_B \) produce potential \( V \) at the point \( X, \) which is away from \( q_A \) by a distance of \( d \) and away from \( q_B\) by a distance of \( 2d.\) If the point charge \( q_C \) is away from \( X\) by a distance of \( d \) and the total potential at \(X \) is \( -3V, \) what is the sum of the point charges \( q_A, \) \( q_B \) and \( q_C?\)

There are two charged metal spheres, as shown in the above figure. The sphere \( A \) with radius \( r_1 =16 \text{ cm} \) is charged with charge \( Q_1 =32 \text{ C} ,\) and the sphere \( B \) with radius \( r_2 =8 \text{ cm} \) is charged with charge \( Q_2 = 4 \text{ C}. \) If the two spheres touch each other, what is the final charge of the sphere \( A? \)

Two identical, equally charged metal spheres \(A \) and \(B\) with radius \( 3 \text{ m} \) repel each other with a force of \( F_{AB} = 5 \times 10^{-5} \text{ N}. \) A third identical, uncharged sphere \(C\) touches \(A,\) and then is placed at the midpoint of \(A\) and \(B.\) Determine the magnitude of net electrostatic force on \(C? \)